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134334446566152 = 23372633303687733
BaseRepresentation
bin11110100010110100101100…
…111101111111101100001000
3122121122020200112220212212110
4132202310230331333230020
5120101413421310104102
61153412220502342320
740203225546500640
oct3642645475775410
9577566615825773
10134334446566152
1139891a11aa4088
1213096aba42a9a0
1359c58b785ca31
142525b71445520
15107e531dc286c
hex7a2d2cf7fb08

134334446566152 has 64 divisors (see below), whose sum is σ = 383958475850880. Its totient is φ = 38366693309952.

The previous prime is 134334446566147. The next prime is 134334446566193. The reversal of 134334446566152 is 251665644433431.

It is a super-2 number, since 2×1343344465661522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134334446566092 and 134334446566101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151401523 + ... + 152286210.

It is an arithmetic number, because the mean of its divisors is an integer number (5999351185170).

Almost surely, 2134334446566152 is an apocalyptic number.

134334446566152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134334446566152 is an abundant number, since it is smaller than the sum of its proper divisors (249624029284728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134334446566152 is a wasteful number, since it uses less digits than its factorization.

134334446566152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303690382 (or 303690378 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 57.

The spelling of 134334446566152 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, four hundred forty-six million, five hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2633 5266 7899 10532 15798 18431 21064 31596 36862 55293 63192 73724 110586 147448 221172 442344 303687733 607375466 911063199 1214750932 1822126398 2125814131 2429501864 3644252796 4251628262 6377442393 7288505592 8503256524 12754884786 17006513048 25509769572 51019539144 799609800989 1599219601978 2398829402967 3198439203956 4797658805934 5597268606923 6396878407912 9595317611868 11194537213846 16791805820769 19190635223736 22389074427692 33583611641538 44778148855384 67167223283076 134334446566152